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Simplifying 8x + 20 = 9x + 13 Reorder the terms: 20 + 8x = 9x + 13 Reorder the terms: 20 + 8x = 13 + 9x Solving 20 + 8x = 13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 20 + 8x + -9x = 13 + 9x + -9x Combine like terms: 8x + -9x = -1x 20 + -1x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + -1x = 13 + 0 20 + -1x = 13 Add '-20' to each side of the equation. 20 + -20 + -1x = 13 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 13 + -20 -1x = 13 + -20 Combine like terms: 13 + -20 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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